SUM Function

Generates the sums of the numeric elements at the lowest levels of a dynamic array and returns a new dynamic array in which each element at the next level is replaced by the sum of its contents.

Syntax

SUM(dynArray)

Syntax Elements

dynArray An expression that evaluates to a dynamic array.

Operation

• If dynArray contains subvalues, each value that contains subvalues is replaced by the sum of those subvalues. Non-numeric subvalues are discarded and null subvalues evaluate to zero.

  Note: If an attribute contains no values, only subvalues, SUM replaces the attribute with the sum of those subvalues.

• If dynArray contains no subvalues, the same process is carried out on the values, replacing attributes with the sums of their values.
• If dynArray contains no values, the same process is carried out on the attributes, replacing the complete array with the sum of its attributes.

See Also

SUMMATION function.

Examples

• If dynArray contains the following:

  2\4\6]3^18]9\7

  the SUM function returns:

  12]3^18]16

  The subvalues in the first value of attribute 1 have been replaced by the number 12 (2 + 4 + 6). Similarly, the subvalues in the second value of attribute 2 have been replaced by the number 16 (9 + 7).

• If dynamic array D contains 4]1]6^4^6]1, the statement

  C = SUM(D)

  sets the variable C to 11^4^7, where 11 is the sum of the initial value list of 4]1]6 and 7 is the sum of the trailing value list of 6]1.

• If dynamic array AGES contains 22^34^25^57^54, the statement

  A = SUM(AGES)

  assigns the value 192 (the sum of all the ages) to variable A.

• If dynamic array A contains 1\2\\A]4]B\C]D\E\^5^6\3^2]1\1]3^5]F, the following program:

  B = SUM(A)
  C = SUM(B)
  D = SUM(C)
  Z = SUMMATION(A)
  CRT "A:",A
  CRT "B:",B
  CRT "C:",C
  CRT "D:",D
  CRT "Z:",Z
  END

  displays the following:

  A:  1\2\\A]4]B\C]D\E\^5^6\3^2]1\1]3^5]F
  
  B:  3]4]]0^5^9^2]2]3^5]F
  
  C:  7^5^9^7^5
  
  D:  33
  
  Z:  33